Question

Find the value of $p$ for which the quadratic equation $4x^2+px+3=0$ whose discriminant is equal to zero.

Answer 1

Given that,

$4x^2+px+3=0$

According to the formula,

$b^2-4ac=0$

$p^2-4\times 4\times 3=0$

$\Rightarrow p^2=48$

$\Rightarrow p=\sqrt{48}$

Hence,

$p=\pm 4\sqrt{3}$